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There are x 3 friends sitting in a circle, each with exactly one book. The friends then decide to exchange their books amongs themselves. Each

There are x 3 friends sitting in a circle, each with exactly one book. The friends then decide to exchange their books amongs themselves. Each individual friend faces the following independent decision: with probability 1/3, they pass their book to the person to his left, and with probability 2/3, they pass their book to the person to his right. What is the expected number of friends that will end up with no books?

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